Search a number
-
+
120231300 = 22352728179
BaseRepresentation
bin1110010101010…
…01010110000100
322101020101100010
413022221112010
5221234400200
615532550220
72656643400
oct712512604
9271211303
10120231300
116195a612
1234322370
131bba82a7
1411d7a100
15a84e150
hex72a9584

120231300 has 108 divisors (see below), whose sum is σ = 404713680. Its totient is φ = 27478080.

The previous prime is 120231289. The next prime is 120231301. The reversal of 120231300 is 3132021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120231301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10611 + ... + 18789.

Almost surely, 2120231300 is an apocalyptic number.

120231300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202356840).

120231300 is an abundant number, since it is smaller than the sum of its proper divisors (284482380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120231300 is a wasteful number, since it uses less digits than its factorization.

120231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8210 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 120231300 is about 10965.0034199721. The cubic root of 120231300 is about 493.5591197219.

Adding to 120231300 its reverse (3132021), we get a palindrome (123363321).

The spelling of 120231300 in words is "one hundred twenty million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 8179 14700 16358 24537 32716 40895 49074 57253 81790 98148 114506 122685 163580 171759 204475 229012 245370 286265 343518 400771 408950 490740 572530 613425 687036 801542 817900 858795 1145060 1202313 1226850 1431325 1603084 1717590 2003855 2404626 2453700 2862650 3435180 4007710 4293975 4809252 5725300 6011565 8015420 8587950 10019275 12023130 17175900 20038550 24046260 30057825 40077100 60115650 120231300